Nike is manufacturing a new basketball shoe and running shoe. The basketball shoe takes 6 hours to make, 1 hour to inspect, and 1 hour to package per day. The running shoe takes 2 hours to make, 1 hour to inspect, and 2 hours to package per day. With a total of 42 hours for manufacturing, 10 hours for inspection, and 16 hours for packaging per week, the optimal combination of shoes to make is 4 basketball shoes and 6 running shoes per day to maximize the weekly profit of $560.

1. Nike Shoe Manufacturing By Robyn and Liz

2. The Problem Nike is making a new basketball shoe and a new running shoe. In a day the basketball shoe takes 6 hours to manufacture, 1 hour to inspect, and 1 hour to package. In a day the running shoe takes 2 hours to manufacture, 1 hour to inspect, and 2 hours to package. In a work week (5 days) they have a total of 42 hours to manufacture, 10 hours to inspect, and 16 hours to package. The basketball shoe cost $50 and the running shoe cost $60. Let the basketball shoe be X and the running shoe be Y. What combination of shoe per day would maximize Nike’s profit per week?

3. The Table $60 $50 Cost 16h 2h 1h Packaging 10h 1h 1h Inspection 42h 2h 6h Manufacturing Total hrs. per week Hrs. per Day Hrs. per Day Shoe Y Shoe X

4. The Graph